Instruction 10-6
a Buyer for a Manufacturing Plant Suspects That

question 94

Short Answer

Instruction 10-6
A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging.In order to determine if his suspicion is correct,he contacts a second supplier and asks for the prices on similar various materials.He wants to compare these prices with those of his primary supplier.The data collected is presented in the table below,with some summary statistics presented (all of these might not be necessary to answer the questions which follow).The buyer believes that the differences are normally distributed and will use this sample to perform an appropriate test at a level of significance of 0.01.
$$\begin{array} { c c c r } \text { Material } & \begin{array} { c } \text { Primary } \\\text { Supplier }\end{array} & \begin{array} { c } \text { Secondary } \\\text { Supplier }\end{array} & \text { Difference } \\\hline 1& \$ 55 & \$ 45 & \$ 10 \\2 & \$ 48 & \$ 47 & \$ 1 \\3 & \$ 31 & \$ 32 & - \$ 1 \\4 & \$ 83 & \$ 77 & \$ 6 \\5 & \$ 37 & \$ 37 & \$ 0 \\6& \$ 55 & \$ 54 & \$ 1 \\\hline \hline \text { Sum: } &\$309&\$292&\$17\\\text { Sum of Squares. } & \$ 17,573 & \$ 15,472 & \$ 139\end{array}$$
-Referring to Instruction 10-6,the p-value of the test is between ________ and ________.

---

Definitions:

Statistics Exam

A formal test or assessment aimed at evaluating a student's understanding and knowledge of statistical concepts and methods.

Outliers

Observations in a dataset that lie at an abnormal distance from other values, often indicating variability in a measurement, experimental errors, or novelty.

Lower Quartile

The value below which 25% of the data in a dataset falls, also known as the first quartile.

Upper Quartile

The median of the upper half of a dataset, marking the 75th percentile.